Mercurial > hg > octave-lyh
annotate scripts/plot/surfnorm.m @ 17475:fd01c78caa0b
Added tag ss-3-7-7 for changeset cc13924a4266
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Mon, 23 Sep 2013 13:31:11 -0400 |
| parents | 68bcac3c043a |
| children | f0f4b524b6d0 |
| rev | line source |
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1 ## Copyright (C) 2007-2012 David Bateman |
| 7189 | 2 ## |
| 3 ## This file is part of Octave. | |
| 4 ## | |
| 5 ## Octave is free software; you can redistribute it and/or modify it | |
| 6 ## under the terms of the GNU General Public License as published by | |
| 7 ## the Free Software Foundation; either version 3 of the License, or (at | |
| 8 ## your option) any later version. | |
| 9 ## | |
| 10 ## Octave is distributed in the hope that it will be useful, but | |
| 11 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
| 12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
| 13 ## General Public License for more details. | |
| 14 ## | |
| 15 ## You should have received a copy of the GNU General Public License | |
| 16 ## along with Octave; see the file COPYING. If not, see | |
| 17 ## <http://www.gnu.org/licenses/>. | |
| 18 | |
| 19 ## -*- texinfo -*- | |
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20 ## @deftypefn {Function File} {} surfnorm (@var{x}, @var{y}, @var{z}) |
| 7189 | 21 ## @deftypefnx {Function File} {} surfnorm (@var{z}) |
| 22 ## @deftypefnx {Function File} {[@var{nx}, @var{ny}, @var{nz}] =} surfnorm (@dots{}) | |
| 23 ## @deftypefnx {Function File} {} surfnorm (@var{h}, @dots{}) | |
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24 ## Find the vectors normal to a meshgridded surface. The meshed gridded |
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25 ## surface is defined by @var{x}, @var{y}, and @var{z}. If @var{x} and |
| 7189 | 26 ## @var{y} are not defined, then it is assumed that they are given by |
| 27 ## | |
| 28 ## @example | |
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29 ## @group |
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30 ## [@var{x}, @var{y}] = meshgrid (1:rows (@var{z}), |
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31 ## 1:columns (@var{z})); |
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32 ## @end group |
| 7189 | 33 ## @end example |
| 34 ## | |
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35 ## If no return arguments are requested, a surface plot with the normal |
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36 ## vectors to the surface is plotted. Otherwise the components of the normal |
| 7189 | 37 ## vectors at the mesh gridded points are returned in @var{nx}, @var{ny}, |
| 38 ## and @var{nz}. | |
| 39 ## | |
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40 ## The normal vectors are calculated by taking the cross product of the |
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41 ## diagonals of each of the quadrilaterals in the meshgrid to find the |
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42 ## normal vectors of the centers of these quadrilaterals. The four nearest |
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43 ## normal vectors to the meshgrid points are then averaged to obtain the |
| 7189 | 44 ## normal to the surface at the meshgridded points. |
| 45 ## | |
| 46 ## An example of the use of @code{surfnorm} is | |
| 47 ## | |
| 48 ## @example | |
| 49 ## surfnorm (peaks (25)); | |
| 50 ## @end example | |
| 51 ## @seealso{surf, quiver3} | |
| 52 ## @end deftypefn | |
| 53 | |
| 7215 | 54 function [Nx, Ny, Nz] = surfnorm (varargin) |
| 7189 | 55 |
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56 [hax, varargin, nargin] = __plt_get_axis_arg__ ("surfnorm", varargin{:}); |
| 7215 | 57 |
| 58 if (nargin != 1 && nargin != 3) | |
| 59 print_usage (); | |
| 7189 | 60 endif |
| 61 | |
| 7215 | 62 if (nargin == 1) |
| 7189 | 63 z = varargin{1}; |
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64 [x, y] = meshgrid (1:rows (z), 1:columns (z)); |
| 7189 | 65 ioff = 2; |
| 66 else | |
| 67 x = varargin{1}; | |
| 68 y = varargin{2}; | |
| 69 z = varargin{3}; | |
| 70 ioff = 4; | |
| 71 endif | |
| 72 | |
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73 if (!ismatrix (z) || isvector (z) || isscalar (z)) |
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74 error ("surfnorm: Z argument must be a matrix"); |
| 7189 | 75 endif |
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76 if (! size_equal (x, y, z)) |
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77 error ("surfnorm: X, Y, and Z must have the same dimensions"); |
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78 endif |
| 7189 | 79 |
| 80 ## Make life easier, and avoid having to do the extrapolation later, do | |
| 81 ## a simpler linear extrapolation here. This is approximative, and works | |
| 82 ## badly for closed surfaces like spheres. | |
| 83 xx = [2 .* x(:,1) - x(:,2), x, 2 .* x(:,end) - x(:,end-1)]; | |
| 84 xx = [2 .* xx(1,:) - xx(2,:); xx; 2 .* xx(end,:) - xx(end-1,:)]; | |
| 85 yy = [2 .* y(:,1) - y(:,2), y, 2 .* y(:,end) - y(:,end-1)]; | |
| 86 yy = [2 .* yy(1,:) - yy(2,:); yy; 2 .* yy(end,:) - yy(end-1,:)]; | |
| 87 zz = [2 .* z(:,1) - z(:,2), z, 2 .* z(:,end) - z(:,end-1)]; | |
| 88 zz = [2 .* zz(1,:) - zz(2,:); zz; 2 .* zz(end,:) - zz(end-1,:)]; | |
| 89 | |
| 90 u.x = xx(1:end-1,1:end-1) - xx(2:end,2:end); | |
| 91 u.y = yy(1:end-1,1:end-1) - yy(2:end,2:end); | |
| 92 u.z = zz(1:end-1,1:end-1) - zz(2:end,2:end); | |
| 93 v.x = xx(1:end-1,2:end) - xx(2:end,1:end-1); | |
| 94 v.y = yy(1:end-1,2:end) - yy(2:end,1:end-1); | |
| 95 v.z = zz(1:end-1,2:end) - zz(2:end,1:end-1); | |
| 96 | |
| 97 c = cross ([u.x(:), u.y(:), u.z(:)], [v.x(:), v.y(:), v.z(:)]); | |
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98 w.x = reshape (c(:,1), size (u.x)); |
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99 w.y = reshape (c(:,2), size (u.y)); |
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100 w.z = reshape (c(:,3), size (u.z)); |
| 7189 | 101 |
| 102 ## Create normal vectors as mesh vectices from normals at mesh centers | |
| 103 nx = (w.x(1:end-1,1:end-1) + w.x(1:end-1,2:end) + | |
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104 w.x(2:end,1:end-1) + w.x(2:end,2:end)) ./ 4; |
| 7189 | 105 ny = (w.y(1:end-1,1:end-1) + w.y(1:end-1,2:end) + |
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106 w.y(2:end,1:end-1) + w.y(2:end,2:end)) ./ 4; |
| 7189 | 107 nz = (w.z(1:end-1,1:end-1) + w.z(1:end-1,2:end) + |
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108 w.z(2:end,1:end-1) + w.z(2:end,2:end)) ./ 4; |
| 7189 | 109 |
| 110 ## Normalize the normal vectors | |
| 111 len = sqrt (nx.^2 + ny.^2 + nz.^2); | |
| 112 nx = nx ./ len; | |
| 113 ny = ny ./ len; | |
| 114 nz = nz ./ len; | |
| 115 | |
| 116 if (nargout == 0) | |
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117 oldfig = []; |
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118 if (! isempty (hax)) |
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119 oldfig = get (0, "currentfigure"); |
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120 endif |
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121 unwind_protect |
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122 hax = newplot (hax); |
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123 |
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124 surf (x, y, z, varargin{ioff:end}); |
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125 old_hold_state = get (hax, "nextplot"); |
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126 unwind_protect |
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127 set (hax, "nextplot", "add"); |
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128 plot3 ([x(:)'; x(:).' + nx(:).' ; NaN(size(x(:).'))](:), |
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129 [y(:)'; y(:).' + ny(:).' ; NaN(size(y(:).'))](:), |
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130 [z(:)'; z(:).' + nz(:).' ; NaN(size(z(:).'))](:), |
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131 varargin{ioff:end}); |
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132 unwind_protect_cleanup |
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133 set (hax, "nextplot", old_hold_state); |
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134 end_unwind_protect |
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135 |
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136 unwind_protect_cleanup |
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137 if (! isempty (oldfig)) |
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138 set (0, "currentfigure", oldfig); |
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139 endif |
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140 end_unwind_protect |
| 7189 | 141 else |
| 142 Nx = nx; | |
| 143 Ny = ny; | |
| 144 Nz = nz; | |
| 145 endif | |
| 7216 | 146 |
| 7189 | 147 endfunction |
| 148 | |
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149 |
| 7189 | 150 %!demo |
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151 %! clf; |
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152 %! colormap ('default'); |
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153 %! [x, y, z] = peaks (10); |
| 7189 | 154 %! surfnorm (x, y, z); |
| 155 | |
| 156 %!demo | |
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157 %! clf; |
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158 %! colormap ('default'); |
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159 %! surfnorm (peaks (10)); |
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160 |
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161 %!demo |
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162 %! clf; |
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163 %! colormap ('default'); |
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164 %! surfnorm (peaks (32)); |
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165 %! shading interp; |
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166 |